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We describe the hyperboloidal compactification for Teukolsky equations in Kerr spacetime.
Stability of a Schwarzschild singularity
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Roger Penrose · 1963
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Roger Penrose · 1965
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Frank J. Zerilli · 1970
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Rotating black holes - separable wave equations for gravitational and electromagnetic perturbations
S.A. Teukolsky · 1972
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J.M. Bardeen and W.H. Press · 1973
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Saul A. Teukolsky · 1973
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Numerical solution of Problems in Unbounded Regions: Coordinate Transforms
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Kinematical conditions in the construction of space-time
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Time function in numerical relativity. Marginally bound dust collapse
Douglas M. Eardley and Larry Smarr · 1979
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Dieter R. Brill, John M. Cavallo, and James A. Isenberg · 1980
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The wave equation In asymptotically retarded time coordinates: Waves as simple, regular functions on a compact manifold
Robert H. Gowdy · 1981
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Cauchy problems for the conformal vacuum field equations in general relativity
Helmut Friedrich · 1983
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On the existence of n-geodesically complete or future complete solutions of Einstein’s field equations with smooth asymptotic structure
Helmut Friedrich · 1986
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The mathematical theory of black holes
S. Chandrasekhar · 1992
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Late time behavior of stellar collapse and explosions: 1. Linearized perturbations
Carsten Gundlach, Richard H. Price, and Jorge Pullin · 1994
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Nonreflecting boundary conditions for time-dependent scattering
M. J. Grote and J. B. Keller · 1996
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Accuracy of estimating the multipole moments of a massive body from the gravitational waves of a binary inspiral
Fintan D. Ryan · 1997
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An Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved space-time
Theodore C. Quinn and Robert M. Wald · 1997
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Gravitational radiation reaction to a particle motion
Yasushi Mino, Misao Sasaki, and Takahiro Tanaka · 1997
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Dynamics of perturbations of rotating black holes
William Krivan, Pablo Laguna, Philippos Papadopoulos, and Nils Andersson · 1997
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Quasi-Spherical Light Cones of the Kerr Geometry
Frans Pretorius and Werner Israel · 1998
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Quasi-normal modes of stars and black holes
K. D. Kokkotas and B. G. Schmidt · 1999
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Effective one-body approach to general relativistic two- body dynamics
A. Buonanno and T. Damour · 1999
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Transition from inspiral to plunge in binary black hole coalescences
Alessandra Buonanno and Thibault Damour · 2000
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On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
Thibault Damour, Piotr Jaranowski, and Gerhard Schaefer · 2000
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Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation
B. Alpert, L. Greengard, and T. Hagstrom · 2000
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Conformal infinity
Jorg Frauendiener · 2000
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Conformally regular ADM evolution equations, 2000
Vincent Moncrief · 2000
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Gravitational waves from a compact star in a circular, inspiral orbit, in the equatorial plane of a massive, spinning black hole, as observed by lisa
Lee Samuel Finn and Kip S. Thorne · 2000
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Gravitational waves from extreme mass ratio inspirals: Challenges in mapping the space-time of massive, compact objects
Scott A. Hughes · 2001
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The Close limit from a null point of view: The Advanced solution
Manuela Campanelli, Roberto Gomez, Sascha Husa, Jeffrey Winicour, and Yosef Zlochower · 2001
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Constant crunch coordinates for black hole simulations
Adrian P. Gentle, Daniel E. Holz, Arkady Kheyfets, Pablo Laguna, Warner A. Miller, et al · 2001
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The Compactification of initial data on constant mean curvature time slices in spherically symmetric space-times
Robert H. Gowdy · 2001
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Retarded radiation from colliding black holes in the close limit
Sascha Husa, Yosef Zlochower, Roberto Gomez, and Jeffrey Winicour · 2002
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Construction of hyperboloidal initial data
Lars Andersson · 2002
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Data for the numerical calculation of the Kruskal space-time
Bernd G. Schmidt · 2002
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Selfforce via a Green’s function decomposition
Steven L. Detweiler and Bernard F. Whiting · 2003
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The Kerr spacetime in generalized Bondi-Sachs coordinates
S J Fletcher and A W C Lun · 2003
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Gravitational-wave detectability of equal-mass black-hole binaries with aligned spins
Christian Reisswig et al · 2009
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On the instability of charged wormholes supported by a ghost scalar field
J. A. Gonzalez, F. S. Guzman, and O. Sarbach · 2009
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Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem
Anil Zenginoglu, Dario Nunez, and Sascha Husa · 2009
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Spacelike matching to null infinity
Anil Zenginoglu and Manuel Tiglio · 2009
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Testing gravitational-wave searches with numerical relativity waveforms: Results from the first Numerical INJection Analysis (NINJA) project
Benjamin Aylott, John G. Baker, William D. Boggs, Michael Boyle, Patrick R. Brady, et al · 2009
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Numerical relativity with the conformal field equations
Sascha Husa · 2003
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Rapid evaluation of radiation boundary kernels for time- domain wave propagation on black holes: Implementation and numerical tests
S. R. Lau · 2004
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Rapid evaluation of radiation boundary kernels for time- domain wave propagation on blackholes
Stephen R. Lau · 2004
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What does a strongly excited ’t Hooft-Polyakov magnetic monopole do?
Gyula Fodor and Istvan Racz · 2004
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Gauge-invariant non-spherical metric perturbations of Schwarzschild black-hole spacetimes
Alessandro Nagar and Luciano Rezzolla · 2005
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Numerical integration of the Teukolsky equation in the time domain
Enrique Pazos-Avalos and Carlos O. Lousto · 2005
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Luisa T. Buchman, Harald P. Pfeiffer, and James M. Bardeen · 2009
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Stationary hyperboloidal slicings with evolved gauge conditions
Frank Ohme, Mark Hannam, Sascha Husa, and Niall O Murchadha · 2009
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Regularity of the Einstein Equations at Future Null Infinity
Vincent Moncrief and Oliver Rinne · 2009
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Binary black hole merger gravitational waves and recoil in the large mass ratio limit
Pranesh A. Sundararajan, Gaurav Khanna, and Scott A. Hughes · 2010
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Modeling Extreme Mass Ratio Inspirals within the Effective-One-Body Approach
Nicolas Yunes, Alessandra Buonanno, Scott A. Hughes, M. Coleman Miller, and Yi Pan · 2010
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Binary black hole merger in the extreme-mass-ratio limit: a multipolar analysis
Sebastiano Bernuzzi and Alessandro Nagar · 2010
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Pseudospectral Collocation Methods for the Computation of the Self-Force on a Charged Particle: Generic Orbits around a Schwarzschild Black Hole
Priscilla Canizares, Carlos F. Sopuerta, and Jose Luis Jaramillo · 2010
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Test bodies and naked singularities: Is the self-force the cosmic censor?
Enrico Barausse, Vitor Cardoso, and Gaurav Khanna · 2010
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Asymptotics of Schwarzschild black hole perturbations
Anil Zenginoglu · 2010
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Saddle-point dynamics of a Yang-Mills field on the exterior Schwarzschild spacetime
Piotr Bizon, Andrzej Rostworowski, and Anil Zenginoglu · 2010
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Evolution of a mass-less test scalar field on Boson Stars space-times
F.D. Lora-Clavijo, A. Cruz-Osorio, and F.S. Guzman · 2010
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Hyperboloidal evolution of test fields in three spatial dimensions
Anil Zenginoglu and Lawrence E. Kidder · 2010
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Transient resonances in the inspirals of point particles into black holes
Eanna E. Flanagan and Tanja Hinderer · 2010
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An axisymmetric evolution code for the Einstein equations on hyperboloidal slices
Oliver Rinne · 2010
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Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole
Nicolas Yunes et al · 2011
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Self force via m m -mode regularization and 2+1D evolution: II. Scalar-field implementation on Kerr spacetime
Sam R. Dolan, Leor Barack, and Barry Wardell · 2011
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Linearized perturbations of the Kerr spacetime and outer boundary conditions in numerical relativity
E. Deadman and J.M. Stewart · 2011
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Binary black hole coalescence in the extreme-mass-ratio limit: testing and improving the effective-one-body multipolar waveform
Sebastiano Bernuzzi, Alessandro Nagar, and Anil Zenginoglu · 2011
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Binary black hole coalescence in the large-mass-ratio limit: the hyperboloidal layer method and waveforms at null infinity
Sebastiano Bernuzzi, Alessandro Nagar, and Anil Zenginoglu · 2011
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Binary Black Hole Waveform Extraction at Null Infinity
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Effective source approach to self-force calculations
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Numerical investigation of the late-time Kerr tails
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Hyperboloidal slices for the wave equation of Kerr-Schild metrics and numerical applications
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Hyperboloidal layers for hyperbolic equations on unbounded domains
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Tetrad formalism for numerical relativity on conformally compactified constant mean curvature hypersurfaces
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